49576243200 has 624 divisors, whose sum is σ = 189551010816. Its totient is φ = 11298406400.

The previous prime is 49576243091. The next prime is 49576243201. The reversal of 49576243200 is 234267594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49576243201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57445969 + ... + 57446831.

Almost surely, 2^49576243200 is an apocalyptic number.

49576243200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49576243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94775505408).

49576243200 is an abundant number, since it is smaller than the sum of its proper divisors (139974767616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49576243200 is a wasteful number, since it uses less digits than its factorization.

49576243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 49576243200 in words is "forty-nine billion, five hundred seventy-six million, two hundred forty-three thousand, two hundred".